Answer:
(-(5 x^3 + 40 x^2 + 24))/(8 x^2) - I can't read the picture yousend it's way to small.
Step-by-step explanation:
Simplify the following:
x - (5 x)/8 - x - 5 - 3/x^2
Put each term in x - (5 x)/8 - x - 5 - 3/x^2 over the common denominator 8 x^2: x - (5 x)/8 - x - 5 - 3/x^2 = (8 x^3)/(8 x^2) - (5 x^3)/(8 x^2) - (8 x^3)/(8 x^2) - (40 x^2)/(8 x^2) - 24/(8 x^2):
(8 x^3)/(8 x^2) - (5 x^3)/(8 x^2) - (8 x^3)/(8 x^2) - (40 x^2)/(8 x^2) - 24/(8 x^2)
(8 x^3)/(8 x^2) - (5 x^3)/(8 x^2) - (8 x^3)/(8 x^2) - (40 x^2)/(8 x^2) - 24/(8 x^2) = (8 x^3 - 5 x^3 - 8 x^3 - 40 x^2 - 24)/(8 x^2):
(8 x^3 - 5 x^3 - 8 x^3 - 40 x^2 - 24)/(8 x^2)
Grouping like terms, 8 x^3 - 5 x^3 - 8 x^3 - 40 x^2 - 24 = (8 x^3 - 8 x^3 - 5 x^3) - 40 x^2 - 24:
((8 x^3 - 8 x^3 - 5 x^3) - 40 x^2 - 24)/(8 x^2)
8 x^3 - 8 x^3 - 5 x^3 = -5 x^3:
(-5 x^3 - 40 x^2 - 24)/(8 x^2)
Factor -1 out of -5 x^3 - 40 x^2 - 24:
Answer: (-(5 x^3 + 40 x^2 + 24))/(8 x^2)
